IBFFM yrast states in odd-odd nuclei associated withO(6) andSU(3) limits

Brant, S.; Paar, V.

doi:10.1007/bf01283770

Cited by 25 publications

(32 citation statements)

References 25 publications

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“…Its extension to boson-fermion systems, the interacting boson-fermion model (IBFM) [9,12] was applied to odd-even nuclei. Recently, the model was extended to odd-odd nuclei [10,11] and referred to as interacting boson-fermionfermion model (IBFFM).…”

Section: Ibm Calculations For the ½¿ ½¿ Ba ½¿ La And ½¿ La Nucleimentioning

confidence: 99%

“…The proton orbitals: 1 ¾ ¾ ¾ and ½ ½½ ¾ describe the structure of ½¿ La and the neutron orbitals: ¾ ¿ ¾ ¿× ½ ¾ and ½ ½½ ¾ describe the structure of ½¿ Ba nucleus. We performed IBFFM calculations for ½¿ La with the residual proton-neutron parameterization [10], Î AE ¼ ¿ and Î AE ¼ ¼½. We have calculated the positive and negative parities and compared them with experimental levels in figure 3.…”

Section: Ibm Calculations For the ½¿ ½¿ Ba ½¿ La And ½¿ La Nucleimentioning

confidence: 99%

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Nuclear structure studies of nuclei near N=80

Drǎgulescu¹,

Semenescu²,

Iftimia

1999

Pramana - J Phys

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High-spin states in ½¿ ½¿ Ba, ½¿ La, ½¿ Ce, ½¿ Nd were populated following (HI, Ò) reactions and subsequent radiation was studied using in-beam -ray spectroscopy methods. Level schemes with new states belonging to the above mentioned nuclei are given. These nuclei situated near AE ¼ have been analysed within the framework of the interactingboson model (IBM), applied to the description of even-even, odd-even and odd-odd nuclei to calculate excitation energies and electromagnetic properties for the above mentioned nuclei.

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Section: Ibm Calculations For the ½¿ ½¿ Ba ½¿ La And ½¿ La Nucleimentioning

confidence: 99%

Section: Ibm Calculations For the ½¿ ½¿ Ba ½¿ La And ½¿ La Nucleimentioning

confidence: 99%

Nuclear structure studies of nuclei near N=80

Drǎgulescu¹,

Semenescu²,

Iftimia

1999

Pramana - J Phys

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“…This may help to gain a better understanding of 98y and to identify levels in this nucleus, which presents a challenge for the study of coexistence of spherical and deformed phases at the point of rapid onset of deformation near A=100. In principle, also the deformed states of ~sy can be obtained in IBFFM employing an SU(3) boson core [13]. A treatment of the deformed states in 9sy would, however, require prohibitively large computations involving the full valence oscillator shells for protons and neutrons.…”

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confidence: 99%

IBFFM predictions for low-lying spherical states in the shape-coexisting odd-odd nucleus98Y

Brant

Paar

Lhersonneau

et al. 1989

Z. Physik A - Atomic Nuclei

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Extrapolating the /nteraeting Boson--Model treatment from lighter neighboms to 9sy we predict the properties of low-lying states of spherical nature in IBFFM. This odd--odd nucleus which presents one of the rare cases of coexisting spherical and deformed shapes is of fundamental importance for understanding nuclear phase transitions.The odd-odd nucleus 9sy lies between spherical and deformed isotopes: 96y and 97y exhibit patterns of spherical shell-model states, while ggY and t00y have fully deformed structures with well developed rotational bands. Therefore it is a particularly good candidate for coexistence of spherical and deformed configurations. In fact, the first rotational band found in a non-even--even nucleus of the A, 100 region was the very regular band in 98y with the head at 495keV [1-2], while the lower-lying levels seem to have quasiparticle character [3][4]. In this paper we report the application of the Interacting Boson-Fermion-Fermion approach to the low-lying levels in 98y. We are in a particularly difficult situation since very little is known about the spins. Even the ground--state spin and parity was a long--standing problem, and only recently the 0-assignment has been established [4]. In the light of such a situation, we have attempted to predict the properties of low-lying levels in 98y using the parameters from successful IBFM and IBFFM calculations for 97y [5], 97Sr [6] and 9~V [7]. First we have performed IBFM studies for the negative-parity states in the odd-even isotope 97y with the same boson core of U (5) Then IBFM calculations were performed for the positive parity states in the even-odd isotone 97Sr. We have assumed that the u~/~ configuration is completely occupied and it was omitted from the calculations. The neutron quasiparticle parameters were adjusted to 97Sr: e!~712) -e(~'l/2) = 0;9 MeV, e(~/~)z-e(~'l/2)= 1.2 MeV, v (~'1/2) = 0.5, v2(gT/2)= 0.2, v2(aa/2 ) = 0.15. It is assumed that the 3/21 state at 167.1 keV in 97Sr is not of ~ta/2 structure (see also [7]), but of more complex nature as associated with the I = j -1, j -2 anomaly [10]. The boson-neutron interaction strengths Ao ~ = 0.18 MeV, Po v = 0.5 MeV, ho v = 0.4 MeV were adjusted to the levels of gTSr.In the third step we have carried out the IBFFM studies for the lowest-lying states in ~sy which are associated with a spherical shape, using the same boson core. For the quasiparticle parameters and boson-fermion interaction strengths we used the values from the IBFM calculations for the normal-parity states in gTy and 07Sr. The value of Fo is the same as the one used for 98y [7]. For the spin-spin residual interaction strength we employ the estimate Vaa --20]A = 0.2 MeV. The strength of the surface delta interaction is taken as V6 =-0.22 MeV; this value was obtained by requiring that the diagonal matrix element or the ('rgg/2, ugT]2~configuration of 9sy has the same value as in the calculation for 9~y [7].

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“…But the energies and the deexcitati on properties suggest that they are based on the coupl i ng of a g9/2 proton on core configurations determined by the two neutrons. Employing the bosonfermion rules for the unique-parity band pattern [18,19], it was predicted that the low-lying part of this positive-parity band in 97y is of decoupled type, i.e. the 1336.3 keY and 1657.6 keY levels are assigned as 13/2+ and 11/2+, respectively [20].…”

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IBMF and IBFFM Approach to Nuclei in the A≃100 Region

Brant¹,

Sistemich²,

Seyfarth³

et al. 1988

Nuclear Structure of the Zirconium Region

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An overview of the calculations in IBFM and IBFFM for nuclei in the A .. 100 region is presented. The application to these nuclei with a complex structure including the rapid transition from spherical to deformed nuclear shapes provides a stringent test for the capacities of this theoretical approach. From the result of the studies of the heavy Yttrium isotopes and the N=59 isotones it is concluded that it can account for the basic structure and the phase transition in these nuclei.

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IBFFM yrast states in odd-odd nuclei associated withO(6) andSU(3) limits

Cited by 25 publications

References 25 publications

Nuclear structure studies of nuclei near N=80

Nuclear structure studies of nuclei near N=80

IBFFM predictions for low-lying spherical states in the shape-coexisting odd-odd nucleus98Y

IBMF and IBFFM Approach to Nuclei in the A≃100 Region

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